Question

Laura is creating the following design out of wood for it to be light enough she needs it’s area to be less than 80 square inches will Laura’s design be light enough justify you’re answer.
11inches 9inches 5Inches 5inches
Sorry I can’t show a pic

Answer 1

The area of a shape is the amount of space it can occupy.

Laura's design will be light enough

The shape is given as a trapezium (see attachment).

First, calculate the height (h) of the trapezium using the following Pythagoras theorem

$5^2 = h^2 + x^2$

Where:

$x = \frac{11 - 9}{2} = 1$

So, we have:

$5^2 = h^2 + x^2$

$5^2 = h^2 + 1^2$

$25 = h^2 + 1$

Collect like terms

$h^2 = 25 -1$

$h^2 = 24$

Take square roots

$h = 4.90$

The area of the shape is then calculated as follows:

$Area = \frac{1}{2}(11 + 9) \times h$

$Area = \frac{1}{2}(11 + 9) \times 4.90$

$Area = \frac{1}{2} \times 20 \times 4.90$

$Area = 10 \times 4.90$

$Area = 49$

The area of the shape is 49 square inches.

Hence, the shape will be light enough (because 49 is less than 80)

Read more about areas at:

brainly.com/question/16418397